张晓龙,男,博士,副教授,硕士生导师。
教育背景:
2013.09-2019.06 大连理工大学 计算数学 博士(硕博连读)
2017.01-2018.07 密歇根大学 计算数学 联合培养博士(导师:John P. Boyd)
工作经历:
2020.01-2022.12 yl23455永利yl23455永利公司 yl23455永利 讲师
2022.03-2024.03 新加坡南洋理工大学 博士后(导师:Lilian Wang教授)
2023.01-至今 yl23455永利yl23455永利公司 yl23455永利 副教授
教学育人:
承担本科生课程《微分方程数值解法》《数据库原理》,研究生课程《高等数值分析》。
科学研究:
研究领域:谱方法、函数数值逼近、微分方程数值解法
代表论文:
[1] X. ZHANG and L.-L. Wang, "Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation," arXiv, vol. 2401.02288, pp. 1-26, 2024.
[2] L.-L. Wang, J. Yan and X. ZHANG, "Error analysis of a first-order IMEX scheme for the logarithmic Schrödinger equation," SIAM J. Numer. Anal., vol. 62, no. 1, pp. 119-137, 2024.
[3] X. ZHANG, L.-L. Wang and H. Jia, "Error analysis of Fourier-Legendre and Fourier-Hermite spectral-Galerkin methods for the Vlasov-Poisson system," ESAIM: Math. Model. Numer. Anal., vol. 57, no. 6, pp. 3637--3668, 2023.
[4] X. ZHANG and J. P. Boyd, "Asymptotic coefficients and errors for Chebyshev polynomial approximations with weak endpoint singularities: Effects of different bases," Sci China Math., vol. 66, pp. 191–220, 2023.
[5] X. ZHANG, "Comparisons of best approximations with Chebyshev expansions for functions with logarithmic endpoint singularities," Numer. Algorithms, vol. 94, pp. 1355–1379, 2023.
[6] X. ZHANG and J. P. Boyd, "Exact solutions to a nonlinear partial differential equation: the Product-of-Curvatures Poisson," J. Comput. Appl. Math. Vol. 406, no.1, p.113866, 2022.
[7] X. ZHANG and J. P. Boyd, "Optimal truncations for multivariate Fourier and Chebyshev series: Mysteries of the hyperbolic cross: Part I: Bivariate case," J. Sci. Comput., vol.82, no.2, p.34, 2020.
[8] X. ZHANG and J. P. Boyd, "Revisiting the Thomas–Fermi equation: Accelerating rational Chebyshev series through coordinate transformations," Appl. Numer. Math.,vol.135, pp. 186-205, 2019.
注:每年招收2名研究生,欢迎对函数数值逼近和微分方程数值解法感兴趣的员工报考。
联系方式:xlzhang@hunnu.edu.cn